Brams, Steven J. and Mor, Ben D. (2019): How Lies Induced Cooperation in "Golden Balls:" A Game-Theoretic Analysis.
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Abstract
We analyze a particular episode of a popular British TV game show, “Golden Balls,” in which one of the two contestants lied about what he intended to do, which had the salutary effect of inducing both contestants to cooperate in what is normally a Prisoners' Dilemma (PD), wherein one or both contestants usually defected. This “solution” to PD assumes that the liar desired to be honorable in fulfilling his pledge to split the jackpot if he won but, surprisingly, he achieved this end without having to do so, astonishing the audience and receiving its acclaim. We note that this action has a biblical precedent in King Solomon’s decision to cut a baby in two.
Item Type: | MPRA Paper |
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Original Title: | How Lies Induced Cooperation in "Golden Balls:" A Game-Theoretic Analysis |
English Title: | How Lies Induced Cooperation in "Golden Balls:" A Game-Theoretic Analysis |
Language: | English |
Keywords: | Lying in games; Prisoners' Dilemma; King Solomon; Honor |
Subjects: | C - Mathematical and Quantitative Methods > C7 - Game Theory and Bargaining Theory > C72 - Noncooperative Games |
Item ID: | 97604 |
Depositing User: | Steven J. Brams |
Date Deposited: | 19 Dec 2019 13:09 |
Last Modified: | 19 Dec 2019 13:09 |
References: | Brams, Steven J. (2018). Divine Games: Game Theory and the Undecidability of a Superior Being. Cambridge, MA: MIT Press. Burton-Chellew, Maxwell N., and Stuart A. West (2012). "Correlates of Cooperation in a One-Shot High-Stakes Televised Prisoners’ Dilemma." PLoS ONE 7(4): e33344. Cornell University Course Blog (2012). "Split or Steal: An Analysis Using Game Theory.” <https://blogs.cornell.edu/info2040/2012/09/21/split-or-steal-an-analysis-using-game-theory/> (accessed Nov. 20, 2019). Hart, Einav (2010). "Steal the Show Payoff Effect on Accuracy of Behavior-Prediction in Real High-Stake Dilemmas." Department of Cognitive Science, The Hebrew University. Nikolaev, Boris (2014) "Using Experiments and Media to Introduce Game Theory into the Principles Classroom." Journal of Private Enterprise 29: 149-160. Talwalkar, Presh (2012). “How to beat the Prisoner’s Dilemma in the TV game show Golden Balls.” <https://mindyourdecisions.com/blog/2012/04/24/how-to-beat-the-prisoners-dilemma-in-the-tv-game-show-golden-balls/> (accessed Nov. 20, 2019). Turmunkh, Uyanga, Martijn J. van den Assem, and Dennie van Dolder (2019). “Malleable Lies: Communication and Cooperation in a High Stakes TV Game Show.” Management Science 65(10): 4795–4812. van den Assem, Martijn J., Dennie van Dolder, and Richard H. Thaler (2012). “Split or Steal? Cooperative Behavior When the Stakes Are Large.” Management Science 58(1): 2. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/97604 |